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sams
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Main Question or Discussion Point
In Section 7.6  Equivalence of Lagrange's and Newton's Equations in the Classical Dynamics of Particles and Systems book by Thornton and Marion, pages 255 and 256, introduces the following transformation from the x_{i}coordinates to the generalized coordinates q_{j} in Equation (7.99):
My questions are mathematical rather than physical questions.
1. Could anyone please explain to me how did the Author make the derivative of x in Equation (7.100) and expanded the time derivative of x in the last term of Equation (7.108)?
2. Is there any mathematical relation of the partial derivatives used for the above two cases?
Your help is much appreciated. Thanks a lot...
My questions are mathematical rather than physical questions.
1. Could anyone please explain to me how did the Author make the derivative of x in Equation (7.100) and expanded the time derivative of x in the last term of Equation (7.108)?
2. Is there any mathematical relation of the partial derivatives used for the above two cases?
Your help is much appreciated. Thanks a lot...
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